6701093280 has 768 divisors, whose sum is σ = 28740096000. Its totient is φ = 1424314368.

The previous prime is 6701093257. The next prime is 6701093293. The reversal of 6701093280 is 823901076.

It is a super-2 number, since 2×6701093280² = 89809302294522316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61477866 + ... + 61477974.

It is an arithmetic number, because the mean of its divisors is an integer number (37422000).

Almost surely, 2^6701093280 is an apocalyptic number.

6701093280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6701093280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048000).

6701093280 is an abundant number, since it is smaller than the sum of its proper divisors (22039002720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6701093280 is a wasteful number, since it uses less digits than its factorization.

6701093280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6701093280 is about 81860.2057168195. The cubic root of 6701093280 is about 1885.3061655151.

The spelling of 6701093280 in words is "six billion, seven hundred one million, ninety-three thousand, two hundred eighty".